IPv6: Does DAD happens for IPs that do not belong to link-local address family too?

As per the RFC 4862, for IPv6, Duplicate Address Detection (DAD) happens for every self-assigned link-local IP? However, it is unclear if the term "link-local" there refers only to the "link-local family/type" of addresses, or "any" IP address that is present a link/one-hop away (in other words: in a LAN).

If a static IPv6 IP is assigned, to a node in LAN, that does not belong to the link-local type (but rather global type), then does DAD happen for such an IP too?

If this is implementation-dependent, what is the behavior in Linux?